In writing a book, one encounters and overcomes many obstacles. Not the least of which is the occasional case of writer’s block. This is especially true in mathematics where sometimes the answer is currently and may for all time be unknown. There is nothing worse than writing yourself into a corner where your only exit is to build a door by solving unsolved problems. In any case, it is my hope that you will read this volume and come away thinking that I have overcome eno...

A Smarandache notion is an element of an ill-defined set, sometimes being almost an accident oflabeling. However, that takes nothing away from the interest and excitement that can be generated by exploring the consequences of such a problem It is a well-known cliche among writers that the best novels are those where the author does not know what is going to happen until that point in the story is actually reached. That statement also holds for some of these problems. ...

F. Smarandache has defined many sequences of integers formed by concatenating the positive integers in specific ways. A question that is often asked about most of these sequences concerns the number of primes in the sequence. As Paul Erdos pointed out, determining how many primes are in sequences of this type is a problem that the current state of mathematical knowledge is unprepared to solve. In general, the sequences grow rather fast, so after a very short time, t...

Using the bases from three through nine to form new sequences, we can then ask the same question regarding the number of primes in the sequence. That appears to be a question just as difficult as the one for base ten numbers, and is summarized in the following statement.

Un costaud force une traInee a fuir sa villa. II entretient des relations avec une autredes relations de sang. Le gars court la gueuse jusqu' au bOI-del, ou il est -a la botte d'une prostituee dlkllaussee. Le male lui rcgarde en face son dos puis il met a nu cette femelle deja deshabillee.

This is Smarandache's Russian translation from Romanian on Algebra.

Prezenta lucrare contine exercitii §i probleme de algebra, grupate pe capitole, pentru clasele superioare de licee §i §coli medii de cultura generala. Scopul ei este pregatirea matematica a elevilor din liceele de toate categoriile §i va fi utila in lucrul de sine statator. De asemenea, lucrarea poate fi folosita pentru lucrul extra§colar, deoarece cititorul va gasi in ea teoreme §i for mule importante, notiuni §i definitii de baza care nu intotdeauna sunt incluse in manualele §colare.

Teoria axiomatica a multimilor este foarte dificila pentru a fi expusa la un nivel elementar, de aceea, intuitiv, prin multime vom in1elege o colec1ie de obiecte pe care Ie vom numi elemente sau puncte ale acestei mul1imi. 0 mul1ime este definita daca sunt date elementele sale sau daca se da 0 proprietate pe care 0 au toate elementele sale, proprietate care Ie deosebe§te de elementele altei mul1imi. Ulteror mul1imile Ie vom nota cu majuscule: A, B, C, .. . , X, Y, ...

Din nevoie deoarece m aflam într'un lagr de refugiaÛi politici in Turcia Õi mi se lungiser ochii dup viza americana de emigrare, viz care se tot lsa aÕteptat pân la disperare! Aproape doi ani de nerbdri Õi descumpniri am înscris în memoria mea... Destui colegi, nerezistând, îÕi luau lumea'n cap Õi fugeau din lagr haihui prin Europa, trecând clandestin frontierele în Grecia Õi-apoi tind-o spre inima continentului în Germania, Belgia, care pe unde nimerea, ba ascunÕ...

Structura roman; a celui mai frumos pod; care a rezistat unui cutremur -; în timp ce cldirile înalte cdeau precum copacii; - destul de tare s Ûin greutatea; atâtor armate Õi caravane spre vechiul oraÕ; care st la intersecÛia Europei....

(Author to reader)--Reader, loe here a well-meaning Booke. It doth at the first entrance forewarne thee, that in contriving the same I have proposed unto my selfe no other than a familiar and private end: I have no respect or consideration at all, either to thy service, or to my glory: my forces are not capable of any such desseigne. I have vowed the same to the particular commodity of my kinsfolk and friends: to the end, that losing me (which they are likely to do ere...

They have a secret, unperceived and delicate beauty; he had neede of a cleere, farreseeing and true-discerning sight that should rightly discover this secret light. Is not ingenuity (according to us) cosin germaine unto sottishnesse, and a quality of reproach? Socrates maketh his soule to moove, with a naturall and common motion. Thus saith a plaine Country-man, and thus a seely Woman: Hee never hath other people in his mouth than Coach-makers, Joyners, Coblers, and Masons.

Tms work in its oripl, German form has already, since its publication fourteen years ago, exercised. on the Continent an influence, quite out of proportion to its slender size. In view of this influence alone it may be affirmed that 1 and Thou will rank &8 one of the epoch-making books 9f our generation. It has hitherto been eomparatively Unknown among English-speaking students of philosophy and theology.

The primal natm:e of the effort to establish relation is already to be seen in the earliest and most confined stage. Before anything isolated can be perceived, timid glances mOve out into indistinct space, towards something indefinite; and in times when there seems to be no desire for nourishment, hands sketch delicately and dimly in the empty air, apparently aimlessly seeking and reaching out to meet something indefinite. You may, if you wish, call this an animal acti...

This Report addresses the issue of “orphan works,” a term used to describe the situation where the owner of a copyrighted work cannot be identified and located by someone who wishes to make use of the work in a manner that requires permission of the copyright owner. Even where the user has made a reasonably diligent effort to find the owner, if the owner is not found, the user faces uncertainty – she cannot determine whether or under what conditions the owner would permi...

We also recommend one other threshold requirement for a user to qualify for the orphan works limitations on remedies: throughout the use of the work, the user must provide attribution to the author and copyright owner of the work if such attribution is possible and as is reasonably appropriate under the circumstances. The idea is that the user, in the course of using a work for which he has not received explicit permission, should make it as clear as possible to the publ...

This book also begins with that wondrous first Information Technology and then moves on to tales about the wonders of the written word—great stories, many of them likely new to most readers. In them, you‘ll find all the backgrounds, foregrounds, premises, conclusions, and surprises that make up the best and most valuable books. This book also begins with that wondrous first Information Technology and then moves on to tales about the wonders of the written word—great st...

Way back in the fifteenth century a man named Johann Gutenberg invented the ?printing press. More than 400 years passed before Ottmar Mergenthaler found a way in the late 1880s to mechanize that historic invention. Then, less than a century later – in the 1980s – digital printing displaced Mergenthaler’s wondrous Linotypes.

Martin Luther goes through the seven sacraments of the medieval Catholic Church with his interpretation of the Bible. He teaches his opinions on the different pratices taken place within the Catholic Church and what they should or do represent. The book is seemingly set in an "angry tone" as this was the first time he accused the pope of being the Antichrist. Luther's book was further published in German by his opponent Franciscan Thomas Murner, in hopes that he would...

“Rise up then, you popish flatterers, one and all! Get busy and defend yourselves against the charges of impiety, tyranny, and lèse-majesté against the gospel, and of the crime of slandering your brethren. You decry as heretics those who refuse to contravene such plain and powerful words of Scripture in order to acknowledge the mere dreams of your brains! If any are to be called heretics and schismatics, it is not the Bohemians or the Greeks,47 for they take their stand ...

The following treatise on Sextus Empiricus and Greek Scepticism has been prepared to supply a need much felt in the English language by students of Greek philosophy. For while other schools of Greek philosophy have been exhaustively and critically discussed by English scholars, there are few sources of information available to the student who wishes to make himself familiar with the teachings of Pyrrhonism. The aim has been, accordingly, to give a concise presentation of...

“Interest has revived in the works of Sextus Empiricus in recent times, especially, one may say, since the date of Herbart. There is much in the writings of Sextus that finds a parallel in the methods of modern philosophy. There is a common starting-point in the study of the power and limitations of human thought. There is a common desire to investigate the phenomena of sense-perception, and the genetic relations of man to the lower animals, and a common interest in the ...

Philo used philisophical representations to fuse and harmonize Jewish traditions and Greek philosophy. It interprets both Jewish and historic Greek philosophies.

“It is a melancholy reflection upon the history of the Jews that they have failed to pay due honor to their two greatest philosophers. Spinoza was rejected by his contemporaries from the congregation of Israel; Philo Judaeus was neglected by the generations that followed him.”

The Annals was Tacitus's final work, covering the period from the death of Augustus Caesar in the year 14. He wrote at least 16 books, but books 7-10 and parts of books 5, 6, 11 and 16 are missing. Book 6 ends with the death of Tiberius and books 7-12 presumably covered the reigns of Caligula and Claudius. The remaining books cover the reign of Nero, perhaps until his death in June 68 or until the end of that year, to connect with the Histories. The second half of book 1...

Es ist gewiss ein wunderbares Ereigniss, dass am Ende des Zeitraums der romischen Litteratur, welcher zwar viel des Geistreichen und Vorzuglichen, aber noch mehr Verrungen hervorgebracht hat, in weichem sich neben der sittlichen Versukenbeit eine grosse Verweichlichung und Entkraflung auch in der Litteratur zeight und nach welchem der entschiedene Verfall der romischen Lutteratur beginnt, ein Schrifsteller auftritt, der zu den ausgezeichnetsten und grossartigsten Erschei...

Racehorse trainer, Kurt MacKinnon, resents being yanked into undercover police work. But when his ex-partner is murdered, Kurt is determined to find the killer and moves his third-string Thoroughbreds to the backwater track where his partner was last seen alive. Julie West, a dedicated but struggling jockey, pins her dreams of an elusive win on the new trainer in town, never suspecting she’s a person of interest—and not because of her riding skills.Kurt didn’t expect hi...

In the history of thought and creation, the decisive events, the great and significant moments, the strongly affirmative stages - then the imposition of the optimizing novelties - have depended on the name and prestige of a personality. Referring to those, we personalize further on. The examples are extremely numerous, even in our nearest past. When we mention a creation - in the largest sense of the term - with the name of the personality who illustrates it most ext...

In aesthetics, the paradox means the apparent resolution of an enigmatic situation (the result of such a process is the satisfaction of a distention), the emotional moving force being the unforeseen, the unexpected (which generates and also perturbs a new tension). Therefore, the paradox is simultaneously a conclusion and a provocation, consisting in the concomitance of the opposites, which gives it a real specificity. The paradox is of the nature of an explosive nuc...

This book contains information about modern technology behind architecture and the study of a successful architectural design and plan.

News that France had declared war on Great Britain in February 1793, and with this declaration that France, by the country's own volition, was now at war with all of Europe, did not reach America until the first half of April of that year. President George Washington was at Mount Vernon attending the funeral of a nephew when he was given the news. He hurried back to Philadelphia and summoned an emergency meeting of his cabinet. In this initial meeting Washington relayed ...

This Report addresses the issue of “orphan works,” a term used to describe the situation where the owner of a copyrighted work cannot be identified and located by someone who wishes to make use of the work in a manner that requires permission of the copyright owner. Even where the user has made a reasonably diligent effort to find the owner, if the owner is not found, the user faces uncertainty – she cannot determine whether or under what conditions the owner would permi...

Many commenters were in favor of determining whether a search was reasonable on an “ad hoc” or case-by-case basis, whereby each search is evaluated according to its circumstances. This approach was offered as having the advantage of flexibility to cover the wide variety of situations that depend on the type of work and type of use involved. Several others were in favor of a “formal” approach, whereby the copyright owner is required to maintain his contact information in ...